Question

Part 1: Create your own quadratic equation that cannot be solved by factoring, but can be solved using the quadratic formula. Identify the values of a, b, and c, and find the solutions using the quadratic formula. Show all work to receive credit. Part 2: Using complete sentences, explain how you know that the equation from Part 1 cannot be solved by factoring, but can be solved by using the quadratic formula.

My mind is blank right now.

Answer 1

Do you know what a quadratic function looks like?

Answer 2

y=ax^2+bx+c
-or-
\[x= \frac{ -b \pm \sqrt{b - 4(a)(c)} }{ 2(a) }\]

Answer 3

Ok so when they say that you need to create one, they are pretty much saying just pick numbers for a, b, and c but make sure that they can't be factored

Answer 4

I'm not sure how to stop them from being factored, do I make something like x^2 - 4x - 9 = 0

Answer 5

*would

Answer 6

Well looking at that it doesnt look like it can be factored

Answer 7

Ok thanks

Answer 8

Also why can't it be factored?

Answer 9

When we factor, we try to break it into something like (x + or minus ?) times (x+ or minus ?) where the "?" are numbers

Answer 10

So for example